Information on Result #521489
There is no (42, 115, 139)-net in base 3, because extracting embedded orthogonal array would yield OA(3115, 139, S3, 73), but
- the linear programming bound shows that M ≥ 53 726456 298605 394882 640035 124713 478057 255728 840609 934833 221759 641680 / 6 655955 254091 > 3115 [i]
Mode: Bound.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No (42, 116, 139)-net in base 3 | [i] | m-Reduction | |